Mono-, Multi-, And Poly-scale Analyses AND Fractional Operators for Cognitive Systems

Cognitive systems are evolving system as governed by perception-action processes, memory, attention, and intelligence. Classical dynamic systems have either no memory, or very short memory, as signified by the Markovian assumption of exponential relaxation. This talk provides an overview of mono-scale, multi-scale and poly-scale modeling of such systems, with emphasis on poly-scale measures and fractional-order differential and integral equations as the basis for modeling of dynamical systems with short-term, long-term, and any other-term memories.